152664420 has 96 divisors (see below), whose sum is σ = 457567488. Its totient is φ = 37896192.

The previous prime is 152664401. The next prime is 152664451. The reversal of 152664420 is 24466251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98169 + ... + 99711.

It is an arithmetic number, because the mean of its divisors is an integer number (4766328).

Almost surely, 2^152664420 is an apocalyptic number.

152664420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152664420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228783744).

152664420 is an abundant number, since it is smaller than the sum of its proper divisors (304903068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152664420 is a wasteful number, since it uses less digits than its factorization.

152664420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 152664420 is about 12355.7444130251. The cubic root of 152664420 is about 534.4568044799.

The spelling of 152664420 in words is "one hundred fifty-two million, six hundred sixty-four thousand, four hundred twenty".